EndPoints2d
            Point detector selecting end points of a two-dimensional binary image.
Access to parameter description
For an introduction:
This algorithm is a point detector that selects end points of a skeleton (that is, all object pixels having only one neighbor).
The skeleton is first detected, and then this algorithm performs a hit-or-miss transform (HMT) with the following configuration and its 7 associated rotations: $$ \begin{array}{ccc} 0 & 0 & \times\\ 0 & 1 & 0\\ 0 & 0 & 0 \end{array} $$ Where $\times$ means "don't care".
        
  

Figure 1. Skeleton and its end points
        
See also
		Access to parameter description
For an introduction:
- section Mathematical Morphology
 - section Point Detectors
 
This algorithm is a point detector that selects end points of a skeleton (that is, all object pixels having only one neighbor).
The skeleton is first detected, and then this algorithm performs a hit-or-miss transform (HMT) with the following configuration and its 7 associated rotations: $$ \begin{array}{ccc} 0 & 0 & \times\\ 0 & 1 & 0\\ 0 & 0 & 0 \end{array} $$ Where $\times$ means "don't care".

Figure 1. Skeleton and its end points
See also
Function Syntax
This function returns the outputBinaryImage output parameter.
                        
                    
// Function prototype.
std::shared_ptr< iolink::ImageView >
endPoints2d( std::shared_ptr< iolink::ImageView > inputBinaryImage,
             EndPoints2d::BorderCondition borderCondition,
             EndPoints2d::Neighborhood neighborhood,
             std::shared_ptr< iolink::ImageView > outputBinaryImage = NULL );
                    
This function returns the outputBinaryImage output parameter.
                        
                    
// Function prototype.
end_points_2d( input_binary_image,
               border_condition = EndPoints2d.BorderCondition.ZERO,
               neighborhood = EndPoints2d.Neighborhood.CONNECTIVITY_8,
               output_binary_image = None )
                    
This function returns the outputBinaryImage output parameter.
                        
                
// Function prototype.
public static IOLink.ImageView
EndPoints2d( IOLink.ImageView inputBinaryImage,
             EndPoints2d.BorderCondition borderCondition = ImageDev.EndPoints2d.BorderCondition.ZERO,
             EndPoints2d.Neighborhood neighborhood = ImageDev.EndPoints2d.Neighborhood.CONNECTIVITY_8,
             IOLink.ImageView outputBinaryImage = null );
                    Class Syntax
Parameters
| Class Name | EndPoints2d | 
|---|
| Parameter Name | Description | Type | Supported Values | Default Value | |||||
|---|---|---|---|---|---|---|---|---|---|
![]()  | 
  inputBinaryImage    | 
 The binary input image. | Image | Binary | nullptr | ||||
![]()  | 
  borderCondition    | 
 The way to consider pixels out of image borders.
  | 
Enumeration | ZERO | |||||
![]()  | 
  neighborhood    | 
 The 2D neighborhood configuration for performing dilations or erosions.
  | 
Enumeration | CONNECTIVITY_8 | |||||
![]()  | 
  outputBinaryImage    | 
 The binary output image. Its size and type are forced to the same values as the input. | Image | nullptr | |||||
Object Examples
auto polystyrene_sep = readVipImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene_sep.vip" ); EndPoints2d endPoints2dAlgo; endPoints2dAlgo.setInputBinaryImage( polystyrene_sep ); endPoints2dAlgo.setBorderCondition( EndPoints2d::BorderCondition::ZERO ); endPoints2dAlgo.setNeighborhood( EndPoints2d::Neighborhood::CONNECTIVITY_8 ); endPoints2dAlgo.execute(); std::cout << "outputBinaryImage:" << endPoints2dAlgo.outputBinaryImage()->toString();
polystyrene_sep = imagedev.read_vip_image(imagedev_data.get_image_path("polystyrene_sep.vip"))
end_points_2d_algo = imagedev.EndPoints2d()
end_points_2d_algo.input_binary_image = polystyrene_sep
end_points_2d_algo.border_condition = imagedev.EndPoints2d.ZERO
end_points_2d_algo.neighborhood = imagedev.EndPoints2d.CONNECTIVITY_8
end_points_2d_algo.execute()
print( "output_binary_image:", str( end_points_2d_algo.output_binary_image ) );
            
ImageView polystyrene_sep = Data.ReadVipImage( @"Data/images/polystyrene_sep.vip" );
EndPoints2d endPoints2dAlgo = new EndPoints2d
{
    inputBinaryImage = polystyrene_sep,
    borderCondition = EndPoints2d.BorderCondition.ZERO,
    neighborhood = EndPoints2d.Neighborhood.CONNECTIVITY_8
};
endPoints2dAlgo.Execute();
Console.WriteLine( "outputBinaryImage:" + endPoints2dAlgo.outputBinaryImage.ToString() );
            Function Examples
auto polystyrene_sep = readVipImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene_sep.vip" ); auto result = endPoints2d( polystyrene_sep, EndPoints2d::BorderCondition::ZERO, EndPoints2d::Neighborhood::CONNECTIVITY_8 ); std::cout << "outputBinaryImage:" << result->toString();
polystyrene_sep = imagedev.read_vip_image(imagedev_data.get_image_path("polystyrene_sep.vip"))
result = imagedev.end_points_2d( polystyrene_sep, imagedev.EndPoints2d.ZERO, imagedev.EndPoints2d.CONNECTIVITY_8 )
print( "output_binary_image:", str( result ) );
            ImageView polystyrene_sep = Data.ReadVipImage( @"Data/images/polystyrene_sep.vip" ); IOLink.ImageView result = Processing.EndPoints2d( polystyrene_sep, EndPoints2d.BorderCondition.ZERO, EndPoints2d.Neighborhood.CONNECTIVITY_8 ); Console.WriteLine( "outputBinaryImage:" + result.ToString() );

